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128793525120 = 2734513223857
BaseRepresentation
bin111011111110010110…
…0010011101110000000
3110022102211201222020000
41313330230103232000
54102232120300440
6135100020120000
712206423620611
oct1677454235600
9408384658200
10128793525120
114a691650757
1220b64836000
13c1b6c54180
14633b171c08
15353be99730
hex1dfcb13b80

128793525120 has 640 divisors, whose sum is σ = 498127069440. Its totient is φ = 31524028416.

The previous prime is 128793525101. The next prime is 128793525139. The reversal of 128793525120 is 21525397821.

128793525120 is a `hidden beast` number, since 1 + 2 + 87 + 9 + 3 + 52 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128793525101) and next prime (128793525139).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1287935251202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150283732 + ... + 150284588.

It is an arithmetic number, because the mean of its divisors is an integer number (778323546).

Almost surely, 2128793525120 is an apocalyptic number.

128793525120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128793525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249063534720).

128793525120 is an abundant number, since it is smaller than the sum of its proper divisors (369333544320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128793525120 is a wasteful number, since it uses less digits than its factorization.

128793525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 128793525120 in words is "one hundred twenty-eight billion, seven hundred ninety-three million, five hundred twenty-five thousand, one hundred twenty".